Let

a. Show that the set S is affinely independent.b. Find the barycentric coordinates of p₁, p₂, and p₃ with respect to S.c. On graph paper, sketch the triangle T with vertices v₁, v₂, and v₃, extend the sides as in Figure 8, and plot the points p₄, p₅, p₆, and p₇. Without calculating the actual values, determine the signs of the barycentric coordinates of points p₄, p₅, p₆, and p₇.

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P2 P6= - [8] V₁ = 2 P3 = P7 P₁ = V₂ = = [3]. [3]. [4], and S = {V₁, V2, V3}. V3 = = [3] =[-]. P4 = P₁ P5 - [3³] 35